Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150ce |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
-815713680157200 = -1 · 24 · 313 · 52 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21923,1855377] |
[a1,a2,a3,a4,a6] |
Generators |
[208:2407:1] |
Generators of the group modulo torsion |
j |
-46610621431010905/32628547206288 |
j-invariant |
L |
12.479477872714 |
L(r)(E,1)/r! |
Ω |
0.46285183301373 |
Real period |
R |
0.25925138669877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51150o1 |
Quadratic twists by: 5 |